Question

Simplify: ⓐ $\sqrt{36}$ ⓑ $\sqrt{169}$ ⓒ $-\sqrt{225}$

Short answer

On simplifying the we get the result as

ⓐ 6

ⓑ 13

ⓒ −15

Step-by-step solution

Step 1. Given information

The given numbers are

$\begin{array}{l}a)\sqrt{36}\\ b)\sqrt{169}\\ c)-\sqrt{225}\end{array}$

We have to simplify the terms.

Step 2. calculate the square root for part (a)

$\begin{array}{l}\text{Wehave}\sqrt{36}\\ {\text{Since6}}^2=36\\ \text{Thus,}\\ \Rightarrow \sqrt{36}=6\end{array}$

Step 3. calculate the square root for part (b)

$\begin{array}{l}\text{Wehave}\sqrt{169}\\ {\text{Since13}}^2=169\\ \text{Thus,}\\ \Rightarrow \sqrt{169}=13\end{array}$

Step 3. calculate the square root for part (b)

$\begin{array}{l}\text{Wehave}-\sqrt{225}\\ {\text{Since15}}^2=225\\ \text{Thenegativeisinfrontoftheradicalsign.}\\ \text{Thus,}\\ \Rightarrow -\sqrt{225}=-15\end{array}$